Answer:
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Simplify:
5(a + 5) + -3 = 3(2 + -1a)
Reorder the terms:
5(5 + a) + -3 = 3(2 + -1a)
(5 * 5 + a * 5) + -3 = 3(2 + -1a)
(25 + 5a) + -3 = 3(2 + -1a)
Reorder the terms again:
25 + -3 + 5a = 3(2 + -1a)
Combine like terms:
]25 + -3 = 22
22 + 5a = 3(2 + -1a)
22 + 5a = (2 * 3 + -1a * 3)
22 + 5a = (6 + -3a)
Solve:
22 + 5a = 6 + -3a
To solve for variable 'a':
You have to move all terms containing A to the left, all other terms to the right.
Then add '3a' to each side of the equation:
22 + 5a + 3a = 6 + -3a + 3a
Combine like terms:
5a + 3a = 8a
22 + 8a = 6 + -3a + 3a
Combine like terms again:
-3a + 3a = 0
22 + 8a = 6 + 0
22 + 8a = 6
Add '-22' to each side of the equation.:
22 + -22 + 8a = 6 + -22
Combine like terms:
22 + -22 = 0
0 + 8a = 6 + -22
8a = 6 + -22
Combine like terms once more:
6 + -22 = -16
8a = -16
Divide each side by '8'.
a = -2
Simplify:
a = -2
Answer: a=-2
Hope I could help! :)
Answer:
A= 10 units squared
Step-by-step explanation:
Because we are fully given points A and B, as well as the knowledge that ABC is a right triangle, we can assume that point C is the last needed point to form the right angle of this triangle. Meaning, point c has to have <em>one</em> identical coordinate out of (x,y) that is the same from <em>each</em> of our pre-existing coordinates in order to successfully form a right angle.
Due to the fact that we are told that Point C lies on y=2, we know that it already has an identical 'y' coordinate as Point A.
We can now decode that the x coordinate of Point C must be identical to the x coordinate of Point B, In this case, -2
We can conclude that point C lies on (-2,2)
If we look at the length of the sides of the triangle, ignoring the hypotenuse, we can see that one is 4 units long and the other is 5 units long.
To find the area of a square the formula is A= l x w x 0.5
Since 4x 5 = 20 and half of 20 is ten, we know that the final answer will be 10 units^2
to help you visualize this problem I've added an attachment :)
Is there supposed to be an inage attached to this? you said “which” but there’s no choices..